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Finding the Fourth Proportional to 232.72, 321.20 and 134.47

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Solution

The fourth proportional to 232.72, 321.20 and 134.47 is: 185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.72 : 321.20 = 134.47 : x
  2. Step 2: Convert to fraction form
    232.72/321.20 = 134.47/x
  3. Step 3: Cross multiply
    232.72x = 321.20 × 134.47
  4. Step 4: Simplify right side
    232.72x = 43,189.49
  5. Step 5: Solve for x
    x = 43,189.49/232.72
  6. Step 6: Final answer
    x = 185.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.